Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400x |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
686743532800 = 28 · 52 · 135 · 172 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-441613,-113103737] |
[a1,a2,a3,a4,a6] |
Generators |
[48673317:1769836918:29791] |
Generators of the group modulo torsion |
j |
1488230737123778560/107303677 |
j-invariant |
L |
9.1621724225519 |
L(r)(E,1)/r! |
Ω |
0.18519915987118 |
Real period |
R |
12.367999436265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22100d1 88400cb1 |
Quadratic twists by: -4 5 |